Local homology of groups of volume-preserving diffeomorphisms. III
Localization of Topological Pontryagin Classes via Finite Propagation Speed.
Locally finite approximation of Lie groups, I.
Multiplicative stability for the cohomology of finite Chevalley groups.
Non-trivial characteristic invariants of homogeneous foliated bundles
Obstructions for Clifford Structures on Vector Bundles.
On a certain formula for exotic characteristic classes I.
On generalized homology of Artin groups.
On graded bundles and their geometry
On group homomorphisms including mod-p cohomology isomorphisms.
On manifolds homotopy equivalent to the total spaces of -bundles over
We calculate the structure sets in the sense of surgery theory of total spaces of bundles over eight-dimensional sphere with fibre a seven-dimensional sphere, in which manifolds homotopy equivalent to the total spaces are organized, and we investigate the question, which of the elements in these structure sets can be realized as such bundles.
On Poincaré 3-Complexes with Binary Polyhedral Fundamental Group.
On the Chern character of glued bundles
On the formality of equivariant classifying spaces.
On the K-Homology of Classifying Spaces.
On the topology of double coset manifolds.
p-Nilpotence, classifying space indecomposability, and other properties of almost all finite groups.
Positivity of Schur function expansions of Thom polynomials
Combining the approach to Thom polynomials via classifying spaces of singularities with the Fulton-Lazarsfeld theory of cone classes and positive polynomials for ample vector bundles, we show that the coefficients of the Schur function expansions of the Thom polynomials of stable singularities are nonnegative with positive sum.
Positivity of Thom polynomials II: the Lagrange singularities
We study Thom polynomials associated with Lagrange singularities. We expand them in the basis of Q̃-functions. This basis plays a key role in the Schubert calculus of isotropic Grassmannians. We prove that the Q̃-function expansions of the Thom polynomials of Lagrange singularities always have nonnegative coefficients. This is an analog of a result on the Thom polynomials of mapping singularities and Schur S-functions, established formerly by the last two authors.
Product splittings for p-compact groups
We show that a connected p-compact group with a trivial center is equivalent to a product of simple p-compact groups. More generally, we show that product splittings of any connected p-compact group correspond bijectively to algebraic splittings of the fundamental group of the maximal torus as a module over the Weyl group. These are analogues for p-compact groups of well-known theorems about compact Lie groups.